1.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
24
a
2
b
7
C.
9
a
4
b
8
D.
24
a
4
b
8
Hint
2.
Simplify
x
3
y
0
z
-2
.
A.
B.
0
C.
-
x
3
yz
2
D.
Hint
3.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
B.
2
x
2
y
C.
D.
8
x
8
y
3
Hint
4.
Evaluate
. Express the result in scientific notation.
A.
8.0 × 10
-7
B.
8.0 × 10
-9
C.
0.8 × 10
-8
D.
80 × 10
-8
Hint
5.
Which expression is not a polynomial?
A.
B.
3
x
2
+ 5
C.
4
x
3
y
2
- 5
xy
+ 7
D.
7
y
3
Hint
6.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
B.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
C.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
7.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
4
– 2
x
2
– 6
C.
9
x
– 6
D.
11
x
2
– 8
x
– 6
Hint
8.
Find the difference (-7
x
4
y
2
– 3
x
2
y
+ 2
xy
2
– 5) – (4
x
4
y
2
–
xy
2
– 5).
A.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
B.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
C.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
Hint
9.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
B.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
C.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
Hint
10.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 15
B.
x
2
+ 8
x
- 15
C.
x
2
- 2
x
- 15
D.
x
2
+ 2
x
- 15
Hint
11.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
- 56
rs
+ 49
s
2
B.
16
r
2
- 49
s
2
C.
16
r
2
+ 56
rs
+ 49
s
2
D.
16
r
2
+ 49
s
2
Hint
12.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
6
B.
81
6
C.
9
9
D.
27
12
Hint
13.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
6
B.
1.32 × 10
4
C.
1.32 × 10
5
D.
1.5 × 10
4
Hint
14.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
2
– 7
x
+ 8
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
4
– 7
x
3
+ 8
x
2
Hint
15.
Find the product (
x
2
– 3
x
+6)(2
x
2
+ 3
x
+ 4).
A.
2
x
4
+ 3
x
3
– 5
x
2
+ 6
x
+ 24
B.
2
x
4
– 3
x
3
+ 7
x
2
+ 6
x
+ 24
C.
2
x
4
+ 3
x
3
+ 7
x
2
+ 6
x
+ 24
D.
2
x
4
– 3
x
3
– 5
x
2
+ 6
x
+ 24
Hint
16.
Which of the following is a difference of two squares?
A.
x
2
– 8
x
– 16
B.
x
2
– 9
C.
x
2
+ 6x + 9
D.
x
2
+ 36
Hint